What is the 2419th prime number?
The 2419th prime number is 21559. The next prime is 21563 (a gap of 4) and the one before is 21557.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 2419th one is 21559.
- 2
21559 is prime because no prime up to ā21559 ā 146.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2419th prime is close to 2419 Ć ln(2419) ā 18847, and here it is 21559.
- 4
21559 is a twin prime: 21557 and 21559 are both prime.
Primes around the 2419th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2416 | 21523 | 2 |
| 2417 | 21529 | 6 |
| 2418 | 21557 | 28 |
| 2419 | 21559 | 2 |
| 2420 | 21563 | 4 |
| 2421 | 21569 | 6 |
| 2422 | 21577 | 8 |
Questions
What is the 2419th prime number?
21559.
Which prime number is 21559?
21559 is the 2419th prime number.
What is the sum of the first 2419 primes?
24,434,090.